Question

2.) What is the length of the hypotenuse?
i
30°
90 feet

Answer 1

Explanation:

Cos(30°) = 90 / hypotenuse

`( √(3) )/(2) = (90)/(hypotenuse)`

Hypotenuse =

`60 √(3) = 103.9`

Answer 2

Answer: ≈ 103.92 feet

Explanation:

Since this is a right triangle we can use a trigonometry function to help us solve. Here, we will utilize cosine since we are given the hypotenuse and the adjacent side to the angle to work with. Let x be the length of the hypotenuse.

Given:

cos(30°) =
`\frac{90\;\text{feet}}{x}`

Multiply both sides of the equation by x:

xcos(30°) = 90 feet

Divide both sides of the equation by cos(30°):

x = 103.92304845 feet ≈ 103.92 feet